8 citations · 16 across the 19 of their papers we have counts for
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Geometric decomposition of flows generated by rough path differential equations
Pedro Catuogno, Lourival Lima, Paulo Ruffino
Whenever an Itô-Wentsel type of formula holds for composition of flows of a certain differential dynamics, there exists locally a decomposition of the corresponding flow according…
Large Deviations for Lévy Diffusions in small regime
Pedro Catuogno, André de Oliveira Gomes
This article concerns the large deviations regime and the consequent solution of the Kramers problem for a two-time scale stochastic system driven by a common jump noise signal per…
Martingales on Principal Fiber Bundles
Pedro Catuogno, Simão N. Stelmastchuk
Let be a principal fiber bundle, let be a connection form on , and consider a projectable connection on . The aim of this work is to deter…
An Itô-Wentzell formula for rough paths
Rafael A. Castrequini, Pedro J. Catuogno, Alvaro E. Machado Hernandez
This article shows an Itô-Wentzell type formula adapted to rough paths with -Hölder regularity . We improve previous results of R. Castrequini an…
Weak solutions for stochastic differential equations with additive fractional noise
Pedro J. Catuogno, Diego S. Ledesma
We give a new approach to prove the existence of a weak solution of \[dx_t = f(t,x_t)dt + g(t)dB^H_t\] where is a fractional Brownian motion with values in a separable Hilb…
Moderate averaged deviations for a multi-scale system with jumps and memory
André de Oliveira Gomes, Pedro Catuogno
This work studies a two-time-scale functional system given by two jump-diffusions under the scale separation by a small parameter . The coefficients of t…